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Finding the Fourth Proportional to 8,174.53, 12,263.63 and 2,980.41

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Solution

The fourth proportional to 8,174.53, 12,263.63 and 2,980.41 is: 4,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.53 : 12,263.63 = 2,980.41 : x
  2. Step 2: Convert to fraction form
    8,174.53/12,263.63 = 2,980.41/x
  3. Step 3: Cross multiply
    8,174.53x = 12,263.63 × 2,980.41
  4. Step 4: Simplify right side
    8,174.53x = 36,550,584.60
  5. Step 5: Solve for x
    x = 36,550,584.60/8,174.53
  6. Step 6: Final answer
    x = 4,471.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.